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Let's say I have a square inscribed into circle. Then how do you call the circle in relation to the rectangle?

Now I need proper naming convention for shapes in general.

inscribed rectangle sketch

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    $\begingroup$ Stay with the "inscribed in" relation. It won't cause any confusion. For the case of a rectangle inscribed in a circle, as AugSB's commented, the circle is the circumscribed circle. For a square inscribed in a rectangle, you would need to indicate how it is inscribed. $\endgroup$
    – quasi
    Feb 13, 2017 at 12:45
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    $\begingroup$ The circle is the circumscribed circle. I do not know any particular name for general shapes. $\endgroup$
    – AugSB
    Feb 13, 2017 at 12:46
  • $\begingroup$ Image a video with fixed aspect ratio that has to fit into screen with given size (pixels), so entire video will be visible (letterboxing with symetrical black bars) I have a funcion called GetInscribedRectangle that calculates the position of the scaled video preview inside the UI element: Rect GetInscribedRect(Size originalSize, Size sizeToFit). How would you describe the the second parameter? $\endgroup$
    – Liero
    Feb 13, 2017 at 13:13
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    $\begingroup$ "enclosed disk" or "biggest area enclosed disk" or "smaller area enclosing disk", more generally "enclosed something", or "enclosing something", for example "enclosed rectangle", or "enclosing rectangle" are common composite keywords in image processing. $\endgroup$
    – Jean Marie
    Feb 13, 2017 at 15:00
  • $\begingroup$ Thks. I have written it as an answer with some added information. $\endgroup$
    – Jean Marie
    Feb 16, 2017 at 13:51

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"enclosed" or "enclosing". But in general associated to a function that has to be either minimized of maximized. E.g., "biggest area enclosed disk" or "smaller area enclosing disk", more generally "enclosed something", or "enclosing something", for example "enclosed rectangle", or "enclosing rectangle" are common composite keywords in image processing. A common adjective for this class of objects is "bounding object".

In Matlab, for example, you can consult (https://fr.mathworks.com/matlabcentral/fileexchange/34767-a-suite-of-minimal-bounding-objects)

A more general site is (http://www.mlahanas.de/CompGeom/opt_bbox.htm)

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